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Statistics: Absence and Exam Grades

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A professor wants to know whether the number of absences a student has and the grade the student gets on a final exam are associated. She randomly selects 100 of her students and gathers the following information:

Grade
Absences A B C D F
0 10 9 7 4 1
1 to 5 8 14 12 1 4
> 5 7 10 5 1 7

Test whether absences and final exam grades are independent at the 0.05 level of significance.

2.
1. The following data represent the number of days absent and the final grade for a sample of statistics students.

Number of Absences Final Grade
0 87
2 81
3 82
4 76
5 72
6 70
7 65

How would you decide if these variables appear to be linearly correlated? Do they seem to be?

2. Regarding question 1, what is the linear correlation coefficient? What does it indicate?

3. Regarding question 1, what is the equation of the linear regression line?

4. Regarding question 1, what is the slope of the linear regression line and what does the slope signify in this context?

5. Regarding question 1, use the linear regression equation to predict the final grade of a student with 1 absence.

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